8945801948160 has 880 divisors, whose sum is σ = 39966932839680. Its totient is φ = 1858861301760.

The previous prime is 8945801948113. The next prime is 8945801948203. The reversal of 8945801948160 is 618491085498.

8945801948160 is a `hidden beast` number, since 8 + 9 + 4 + 5 + 80 + 19 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31793371 + ... + 32073509.

It is an arithmetic number, because the mean of its divisors is an integer number (45416969136).

Almost surely, 2^{8945801948160} is an apocalyptic number.

8945801948160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8945801948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19983466419840).

8945801948160 is an abundant number, since it is smaller than the sum of its proper divisors (31021130891520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8945801948160 is a wasteful number, since it uses less digits than its factorization.

8945801948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280194 (or 280167 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 8945801948160 in words is "eight trillion, nine hundred forty-five billion, eight hundred one million, nine hundred forty-eight thousand, one hundred sixty".